Origin of the violation of the fluctuation-dissipation theorem in systems with activated dynamics

被引:38
作者
Pérez-Madrid, A
Reguera, D
Rubí, JM
机构
[1] Univ Barcelona, Dept Fis Fonamental, CER Fis Sistemes Complexos, E-08028 Barcelona, Spain
[2] Univ Calif Los Angeles, Dept Chem & Biochem, Los Angeles, CA 90095 USA
基金
美国国家科学基金会;
关键词
fluctuation-dissipation theorem; effective temperatures; slow relaxation; glassy systems; mesoscopic nonequilibrium thermodynamics;
D O I
10.1016/S0378-4371(03)00634-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze the validity of the fluctuation-dissipation theorem for slow relaxation systems in the context of mesoscopic nonequilibrium thermodynamics. We demonstrate that the violation arises as a natural consequence of the elimination of fast variables in the description of a glassy system, and it is intrinsically related to the underlying activated nature of slow relaxation. In addition, we show that the concept of effective temperature, introduced to characterize the magnitude of the violation, is not robust since it is observable-dependent, can diverge, or even be negative. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:357 / 364
页数:8
相关论文
共 50 条
[21]   Validity of Kubo's Fluctuation-dissipation theorem in systems driven by a time-dependent electric field [J].
Garcia-Camacho, J. F. ;
Contreras-Vergara, O. ;
Sanchez-Salas, N. ;
de Parga, G. Ares ;
Jimenez-Aquino, J. I. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2025, 674
[22]   A point electric dipole: From basic optical properties to the fluctuation-dissipation theorem [J].
Moskalensky A.E. ;
Yurkin M.A. .
Reviews in Physics, 2021, 6
[23]   Measuring magnetic 1/f noise in superconducting microstructures and the fluctuation-dissipation theorem [J].
Herbst, M. ;
Fleischmann, A. ;
Hengstler, D. ;
Mazibrada, D. ;
Muench, L. ;
Reifenberger, A. ;
Staender, C. ;
Enss, C. .
SUPERCONDUCTOR SCIENCE & TECHNOLOGY, 2023, 36 (10)
[24]   Fluctuation-dissipation dispersion relation for systems with slowly varying parameters [J].
Belyi, V .
NOISE AND FLUCTUATIONS, 2005, 780 :63-66
[25]   On viscosity and fluctuation-dissipation in exclusion processes [J].
Landim, C ;
Olla, S ;
Varadhan, SRS .
JOURNAL OF STATISTICAL PHYSICS, 2004, 115 (1-2) :323-363
[26]   On Viscosity and Fluctuation-Dissipation in Exclusion Processes [J].
C. Landim ;
S. Olla ;
S. R. S. Varadhan .
Journal of Statistical Physics, 2004, 115 :323-363
[27]   General validity of the second fluctuation-dissipation theorem in the nonequilibrium steady state: Theory and applications [J].
Zhu, Yuanran ;
Lei, Huan ;
Kim, Changho .
PHYSICA SCRIPTA, 2023, 98 (11)
[28]   On spurious detection of linear response and misuse of the fluctuation-dissipation theorem in finite time series [J].
Gottwald, Georg A. ;
Wormell, Caroline ;
Wouters, Jeroen .
PHYSICA D-NONLINEAR PHENOMENA, 2016, 331 :89-101
[29]   Fluctuation-Dissipation Theorem in Liquid and Glassy Glycerol: Frequency-Dependent Dielectric Permittivity and Dielectric Polarization Fluctuation Measurements [J].
Schindele, J. ;
Reiser, A. ;
Enss, C. .
PHYSICAL REVIEW LETTERS, 2011, 107 (09)
[30]   Nanoscale non-equilibrium dynamics and the fluctuation-dissipation relation in an ageing polymer glass [J].
Oukris, Hassan ;
Israeloff, N. E. .
NATURE PHYSICS, 2010, 6 (02) :135-138